Preparazione all'algebra Esempi

$\frac{754309}{38}$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$3$

$8$

$7$

$5$

$4$

$3$

$0$

$9$

Passaggio 2

Dividi $75$ per $38$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$

Passaggio 3

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $38$ .

			$1$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$

Passaggio 4

Sottrai $38$ da $75$ .

			$1$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$

Passaggio 5

Abbassa il numero successivo del dividendo.

			$1$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$

Passaggio 6

Dividi $374$ per $38$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$

Passaggio 7

Moltiplica la cifra quoziente appena ottenuta $(9)$ per il divisore $38$ .

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$

Passaggio 8

Sottrai $342$ da $374$ .

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$

Passaggio 9

Abbassa il numero successivo del dividendo.

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

Passaggio 10

Dividi $323$ per $38$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

Passaggio 11

Moltiplica la cifra quoziente appena ottenuta $(8)$ per il divisore $38$ .

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$

Passaggio 12

Sottrai $304$ da $323$ .

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$

Passaggio 13

Abbassa il numero successivo del dividendo.

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

Passaggio 14

Dividi $190$ per $38$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

Passaggio 15

Moltiplica la cifra quoziente appena ottenuta $(5)$ per il divisore $38$ .

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$

Passaggio 16

Sottrai $190$ da $190$ .

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$

Passaggio 17

Abbassa il numero successivo del dividendo.

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$	$9$

Passaggio 18

Dividi $9$ per $38$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$9$	$8$	$5$	$0$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$	$9$

Passaggio 19

Moltiplica la cifra quoziente appena ottenuta $(0)$ per il divisore $38$ .

			$1$	$9$	$8$	$5$	$0$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$	$9$
					$-$		$0$

Passaggio 20

Sottrai $0$ da $9$ .

			$1$	$9$	$8$	$5$	$0$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$	$9$
					$-$		$0$
							$9$

Passaggio 21

Il risultato della divisione di $\frac{754309}{38}$ è $19850$ con un resto di $9$ .

$19850 \frac{9}{38}$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$

			$1$	$9$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$

			$1$	$9$	$8$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$

			$1$	$9$	$8$	$5$
$3$	$8$	$7$	$5$	$4$	$3$	$0$	$9$
	$-$	$3$	$8$
		$3$	$7$	$4$
	$-$	$3$	$4$	$2$
			$3$	$2$	$3$
		$-$	$3$	$0$	$4$
				$1$	$9$	$0$
			$-$	$1$	$9$	$0$
						$0$